What is the Greatest Common Factor of 56646 and 56664?

Greatest common factor (GCF) of 56646 and 56664 is 18.

GCF(56646,56664) = 18

We will now calculate the prime factors of 56646 and 56664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56646 and 56664.

How to find the GCF of 56646 and 56664?

We will first find the prime factorization of 56646 and 56664. After we will calculate the factors of 56646 and 56664 and find the biggest common factor number .

Step-1: Prime Factorization of 56646

Prime factors of 56646 are 2, 3, 1049. Prime factorization of 56646 in exponential form is:

56646 = 2¹ × 3³ × 1049¹

Step-2: Prime Factorization of 56664

Prime factors of 56664 are 2, 3, 787. Prime factorization of 56664 in exponential form is:

56664 = 2³ × 3² × 787¹

Step-3: Factors of 56646

List of positive integer factors of 56646 that divides 56646 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1049, 2098, 3147, 6294, 9441, 18882, 28323

Step-4: Factors of 56664

List of positive integer factors of 56664 that divides 56646 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 787, 1574, 2361, 3148, 4722, 6296, 7083, 9444, 14166, 18888, 28332

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56646 and 56664. The biggest common factor number is the GCF number.
So the greatest common factor 56646 and 56664 is 18.

Also check out the Least Common Multiple of 56646 and 56664